=>

[1]=>[1]=>1=>1 [1,1]=>[1,1]=>11=>11 [2]=>[2]=>10=>10 [1,1,1]=>[1,1,1]=>111=>111 [1,2]=>[2,1]=>101=>110 [2,1]=>[1,2]=>110=>110 [3]=>[3]=>100=>100 [1,1,1,1]=>[1,1,1,1]=>1111=>1111 [1,1,2]=>[2,1,1]=>1011=>1110 [1,2,1]=>[1,2,1]=>1101=>1110 [1,3]=>[3,1]=>1001=>1010 [2,1,1]=>[1,1,2]=>1110=>1110 [2,2]=>[2,2]=>1010=>1100 [3,1]=>[1,3]=>1100=>1010 [4]=>[4]=>1000=>1000 [1,1,1,1,1]=>[1,1,1,1,1]=>11111=>11111 [1,1,1,2]=>[2,1,1,1]=>10111=>11110 [1,1,2,1]=>[1,2,1,1]=>11011=>11110 [1,1,3]=>[3,1,1]=>10011=>10110 [1,2,1,1]=>[1,1,2,1]=>11101=>11110 [1,2,2]=>[2,2,1]=>10101=>11100 [1,3,1]=>[1,3,1]=>11001=>10110 [1,4]=>[4,1]=>10001=>10010 [2,1,1,1]=>[1,1,1,2]=>11110=>11110 [2,1,2]=>[2,1,2]=>10110=>11100 [2,2,1]=>[1,2,2]=>11010=>11100 [2,3]=>[3,2]=>10010=>11000 [3,1,1]=>[1,1,3]=>11100=>10110 [3,2]=>[2,3]=>10100=>11000 [4,1]=>[1,4]=>11000=>10010 [5]=>[5]=>10000=>10000 [1,1,1,1,1,1]=>[1,1,1,1,1,1]=>111111=>111111 [1,1,1,1,2]=>[2,1,1,1,1]=>101111=>111110 [1,1,1,2,1]=>[1,2,1,1,1]=>110111=>111110 [1,1,1,3]=>[3,1,1,1]=>100111=>101110 [1,1,2,1,1]=>[1,1,2,1,1]=>111011=>111110 [1,1,2,2]=>[2,2,1,1]=>101011=>111010 [1,1,3,1]=>[1,3,1,1]=>110011=>101110 [1,1,4]=>[4,1,1]=>100011=>100110 [1,2,1,1,1]=>[1,1,1,2,1]=>111101=>111110 [1,2,1,2]=>[2,1,2,1]=>101101=>111100 [1,2,2,1]=>[1,2,2,1]=>110101=>111010 [1,2,3]=>[3,2,1]=>100101=>101100 [1,3,1,1]=>[1,1,3,1]=>111001=>101110 [1,3,2]=>[2,3,1]=>101001=>110010 [1,4,1]=>[1,4,1]=>110001=>100110 [1,5]=>[5,1]=>100001=>100010 [2,1,1,1,1]=>[1,1,1,1,2]=>111110=>111110 [2,1,1,2]=>[2,1,1,2]=>101110=>111010 [2,1,2,1]=>[1,2,1,2]=>110110=>111100 [2,1,3]=>[3,1,2]=>100110=>110010 [2,2,1,1]=>[1,1,2,2]=>111010=>111010 [2,2,2]=>[2,2,2]=>101010=>111000 [2,3,1]=>[1,3,2]=>110010=>101100 [2,4]=>[4,2]=>100010=>101000 [3,1,1,1]=>[1,1,1,3]=>111100=>101110 [3,1,2]=>[2,1,3]=>101100=>101100 [3,2,1]=>[1,2,3]=>110100=>110010 [3,3]=>[3,3]=>100100=>110000 [4,1,1]=>[1,1,4]=>111000=>100110 [4,2]=>[2,4]=>101000=>101000 [5,1]=>[1,5]=>110000=>100010 [6]=>[6]=>100000=>100000 [1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1]=>1111111=>1111111 [1,1,1,1,1,2]=>[2,1,1,1,1,1]=>1011111=>1111110 [1,1,1,1,2,1]=>[1,2,1,1,1,1]=>1101111=>1111110 [1,1,1,1,3]=>[3,1,1,1,1]=>1001111=>1011110 [1,1,1,2,1,1]=>[1,1,2,1,1,1]=>1110111=>1111110 [1,1,1,2,2]=>[2,2,1,1,1]=>1010111=>1110110 [1,1,1,3,1]=>[1,3,1,1,1]=>1100111=>1011110 [1,1,1,4]=>[4,1,1,1]=>1000111=>1001110 [1,1,2,1,1,1]=>[1,1,1,2,1,1]=>1111011=>1111110 [1,1,2,1,2]=>[2,1,2,1,1]=>1011011=>1111100 [1,1,2,2,1]=>[1,2,2,1,1]=>1101011=>1110110 [1,1,2,3]=>[3,2,1,1]=>1001011=>1011010 [1,1,3,1,1]=>[1,1,3,1,1]=>1110011=>1011110 [1,1,3,2]=>[2,3,1,1]=>1010011=>1100110 [1,1,4,1]=>[1,4,1,1]=>1100011=>1001110 [1,1,5]=>[5,1,1]=>1000011=>1000110 [1,2,1,1,1,1]=>[1,1,1,1,2,1]=>1111101=>1111110 [1,2,1,1,2]=>[2,1,1,2,1]=>1011101=>1111100 [1,2,1,2,1]=>[1,2,1,2,1]=>1101101=>1111100 [1,2,1,3]=>[3,1,2,1]=>1001101=>1101100 [1,2,2,1,1]=>[1,1,2,2,1]=>1110101=>1110110 [1,2,2,2]=>[2,2,2,1]=>1010101=>1111000 [1,2,3,1]=>[1,3,2,1]=>1100101=>1011010 [1,2,4]=>[4,2,1]=>1000101=>1001100 [1,3,1,1,1]=>[1,1,1,3,1]=>1111001=>1011110 [1,3,1,2]=>[2,1,3,1]=>1011001=>1101100 [1,3,2,1]=>[1,2,3,1]=>1101001=>1100110 [1,3,3]=>[3,3,1]=>1001001=>1100100 [1,4,1,1]=>[1,1,4,1]=>1110001=>1001110 [1,4,2]=>[2,4,1]=>1010001=>1010010 [1,5,1]=>[1,5,1]=>1100001=>1000110 [1,6]=>[6,1]=>1000001=>1000010 [2,1,1,1,1,1]=>[1,1,1,1,1,2]=>1111110=>1111110 [2,1,1,1,2]=>[2,1,1,1,2]=>1011110=>1110110 [2,1,1,2,1]=>[1,2,1,1,2]=>1101110=>1111100 [2,1,1,3]=>[3,1,1,2]=>1001110=>1100110 [2,1,2,1,1]=>[1,1,2,1,2]=>1110110=>1111100 [2,1,2,2]=>[2,2,1,2]=>1010110=>1111000 [2,1,3,1]=>[1,3,1,2]=>1100110=>1101100 [2,1,4]=>[4,1,2]=>1000110=>1010010 [2,2,1,1,1]=>[1,1,1,2,2]=>1111010=>1110110 [2,2,1,2]=>[2,1,2,2]=>1011010=>1111000 [2,2,2,1]=>[1,2,2,2]=>1101010=>1111000 [2,2,3]=>[3,2,2]=>1001010=>1110000 [2,3,1,1]=>[1,1,3,2]=>1110010=>1011010 [2,3,2]=>[2,3,2]=>1010010=>1110000 [2,4,1]=>[1,4,2]=>1100010=>1001100 [2,5]=>[5,2]=>1000010=>1001000 [3,1,1,1,1]=>[1,1,1,1,3]=>1111100=>1011110 [3,1,1,2]=>[2,1,1,3]=>1011100=>1011010 [3,1,2,1]=>[1,2,1,3]=>1101100=>1101100 [3,1,3]=>[3,1,3]=>1001100=>1100100 [3,2,1,1]=>[1,1,2,3]=>1110100=>1100110 [3,2,2]=>[2,2,3]=>1010100=>1110000 [3,3,1]=>[1,3,3]=>1100100=>1100100 [3,4]=>[4,3]=>1000100=>1100000 [4,1,1,1]=>[1,1,1,4]=>1111000=>1001110 [4,1,2]=>[2,1,4]=>1011000=>1001100 [4,2,1]=>[1,2,4]=>1101000=>1010010 [4,3]=>[3,4]=>1001000=>1100000 [5,1,1]=>[1,1,5]=>1110000=>1000110 [5,2]=>[2,5]=>1010000=>1001000 [6,1]=>[1,6]=>1100000=>1000010 [7]=>[7]=>1000000=>1000000 [1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1]=>11111111=>11111111 [1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1]=>10111111=>11111110 [1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1]=>11011111=>11111110 [1,1,1,1,1,3]=>[3,1,1,1,1,1]=>10011111=>10111110 [1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1]=>11101111=>11111110 [1,1,1,1,2,2]=>[2,2,1,1,1,1]=>10101111=>11101110 [1,1,1,1,3,1]=>[1,3,1,1,1,1]=>11001111=>10111110 [1,1,1,1,4]=>[4,1,1,1,1]=>10001111=>10011110 [1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1]=>11110111=>11111110 [1,1,1,2,1,2]=>[2,1,2,1,1,1]=>10110111=>11111010 [1,1,1,2,2,1]=>[1,2,2,1,1,1]=>11010111=>11101110 [1,1,1,2,3]=>[3,2,1,1,1]=>10010111=>10110110 [1,1,1,3,1,1]=>[1,1,3,1,1,1]=>11100111=>10111110 [1,1,1,3,2]=>[2,3,1,1,1]=>10100111=>11001110 [1,1,1,4,1]=>[1,4,1,1,1]=>11000111=>10011110 [1,1,1,5]=>[5,1,1,1]=>10000111=>10001110 [1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1]=>11111011=>11111110 [1,1,2,1,1,2]=>[2,1,1,2,1,1]=>10111011=>11111100 [1,1,2,1,2,1]=>[1,2,1,2,1,1]=>11011011=>11111010 [1,1,2,1,3]=>[3,1,2,1,1]=>10011011=>10111100 [1,1,2,2,1,1]=>[1,1,2,2,1,1]=>11101011=>11101110 [1,1,2,2,2]=>[2,2,2,1,1]=>10101011=>11110010 [1,1,2,3,1]=>[1,3,2,1,1]=>11001011=>10110110 [1,1,2,4]=>[4,2,1,1]=>10001011=>10011010 [1,1,3,1,1,1]=>[1,1,1,3,1,1]=>11110011=>10111110 [1,1,3,1,2]=>[2,1,3,1,1]=>10110011=>11011010 [1,1,3,2,1]=>[1,2,3,1,1]=>11010011=>11001110 [1,1,3,3]=>[3,3,1,1]=>10010011=>11001010 [1,1,4,1,1]=>[1,1,4,1,1]=>11100011=>10011110 [1,1,4,2]=>[2,4,1,1]=>10100011=>10100110 [1,1,5,1]=>[1,5,1,1]=>11000011=>10001110 [1,1,6]=>[6,1,1]=>10000011=>10000110 [1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1]=>11111101=>11111110 [1,2,1,1,1,2]=>[2,1,1,1,2,1]=>10111101=>11111010 [1,2,1,1,2,1]=>[1,2,1,1,2,1]=>11011101=>11111100 [1,2,1,1,3]=>[3,1,1,2,1]=>10011101=>11011010 [1,2,1,2,1,1]=>[1,1,2,1,2,1]=>11101101=>11111010 [1,2,1,2,2]=>[2,2,1,2,1]=>10101101=>11111000 [1,2,1,3,1]=>[1,3,1,2,1]=>11001101=>10111100 [1,2,1,4]=>[4,1,2,1]=>10001101=>10101100 [1,2,2,1,1,1]=>[1,1,1,2,2,1]=>11110101=>11101110 [1,2,2,1,2]=>[2,1,2,2,1]=>10110101=>11111000 [1,2,2,2,1]=>[1,2,2,2,1]=>11010101=>11110010 [1,2,2,3]=>[3,2,2,1]=>10010101=>10111000 [1,2,3,1,1]=>[1,1,3,2,1]=>11100101=>10110110 [1,2,3,2]=>[2,3,2,1]=>10100101=>11010100 [1,2,4,1]=>[1,4,2,1]=>11000101=>10011010 [1,2,5]=>[5,2,1]=>10000101=>10001100 [1,3,1,1,1,1]=>[1,1,1,1,3,1]=>11111001=>10111110 [1,3,1,1,2]=>[2,1,1,3,1]=>10111001=>10111100 [1,3,1,2,1]=>[1,2,1,3,1]=>11011001=>11011010 [1,3,1,3]=>[3,1,3,1]=>10011001=>11001100 [1,3,2,1,1]=>[1,1,2,3,1]=>11101001=>11001110 [1,3,2,2]=>[2,2,3,1]=>10101001=>11100010 [1,3,3,1]=>[1,3,3,1]=>11001001=>11001010 [1,3,4]=>[4,3,1]=>10001001=>10100100 [1,4,1,1,1]=>[1,1,1,4,1]=>11110001=>10011110 [1,4,1,2]=>[2,1,4,1]=>10110001=>10101100 [1,4,2,1]=>[1,2,4,1]=>11010001=>10100110 [1,4,3]=>[3,4,1]=>10010001=>11000010 [1,5,1,1]=>[1,1,5,1]=>11100001=>10001110 [1,5,2]=>[2,5,1]=>10100001=>10010010 [1,6,1]=>[1,6,1]=>11000001=>10000110 [1,7]=>[7,1]=>10000001=>10000010 [2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2]=>11111110=>11111110 [2,1,1,1,1,2]=>[2,1,1,1,1,2]=>10111110=>11101110 [2,1,1,1,2,1]=>[1,2,1,1,1,2]=>11011110=>11111010 [2,1,1,1,3]=>[3,1,1,1,2]=>10011110=>11001110 [2,1,1,2,1,1]=>[1,1,2,1,1,2]=>11101110=>11111100 [2,1,1,2,2]=>[2,2,1,1,2]=>10101110=>11110010 [2,1,1,3,1]=>[1,3,1,1,2]=>11001110=>11011010 [2,1,1,4]=>[4,1,1,2]=>10001110=>10100110 [2,1,2,1,1,1]=>[1,1,1,2,1,2]=>11110110=>11111010 [2,1,2,1,2]=>[2,1,2,1,2]=>10110110=>11111000 [2,1,2,2,1]=>[1,2,2,1,2]=>11010110=>11111000 [2,1,2,3]=>[3,2,1,2]=>10010110=>11010100 [2,1,3,1,1]=>[1,1,3,1,2]=>11100110=>10111100 [2,1,3,2]=>[2,3,1,2]=>10100110=>11100010 [2,1,4,1]=>[1,4,1,2]=>11000110=>10101100 [2,1,5]=>[5,1,2]=>10000110=>10010010 [2,2,1,1,1,1]=>[1,1,1,1,2,2]=>11111010=>11101110 [2,2,1,1,2]=>[2,1,1,2,2]=>10111010=>11110010 [2,2,1,2,1]=>[1,2,1,2,2]=>11011010=>11111000 [2,2,1,3]=>[3,1,2,2]=>10011010=>11100010 [2,2,2,1,1]=>[1,1,2,2,2]=>11101010=>11110010 [2,2,2,2]=>[2,2,2,2]=>10101010=>11110000 [2,2,3,1]=>[1,3,2,2]=>11001010=>10111000 [2,2,4]=>[4,2,2]=>10001010=>10110000 [2,3,1,1,1]=>[1,1,1,3,2]=>11110010=>10110110 [2,3,1,2]=>[2,1,3,2]=>10110010=>10111000 [2,3,2,1]=>[1,2,3,2]=>11010010=>11010100 [2,3,3]=>[3,3,2]=>10010010=>11100000 [2,4,1,1]=>[1,1,4,2]=>11100010=>10011010 [2,4,2]=>[2,4,2]=>10100010=>10110000 [2,5,1]=>[1,5,2]=>11000010=>10001100 [2,6]=>[6,2]=>10000010=>10001000 [3,1,1,1,1,1]=>[1,1,1,1,1,3]=>11111100=>10111110 [3,1,1,1,2]=>[2,1,1,1,3]=>10111100=>10110110 [3,1,1,2,1]=>[1,2,1,1,3]=>11011100=>10111100 [3,1,1,3]=>[3,1,1,3]=>10011100=>11001010 [3,1,2,1,1]=>[1,1,2,1,3]=>11101100=>11011010 [3,1,2,2]=>[2,2,1,3]=>10101100=>10111000 [3,1,3,1]=>[1,3,1,3]=>11001100=>11001100 [3,1,4]=>[4,1,3]=>10001100=>11000010 [3,2,1,1,1]=>[1,1,1,2,3]=>11110100=>11001110 [3,2,1,2]=>[2,1,2,3]=>10110100=>11010100 [3,2,2,1]=>[1,2,2,3]=>11010100=>11100010 [3,2,3]=>[3,2,3]=>10010100=>11100000 [3,3,1,1]=>[1,1,3,3]=>11100100=>11001010 [3,3,2]=>[2,3,3]=>10100100=>11100000 [3,4,1]=>[1,4,3]=>11000100=>10100100 [3,5]=>[5,3]=>10000100=>10100000 [4,1,1,1,1]=>[1,1,1,1,4]=>11111000=>10011110 [4,1,1,2]=>[2,1,1,4]=>10111000=>10011010 [4,1,2,1]=>[1,2,1,4]=>11011000=>10101100 [4,1,3]=>[3,1,4]=>10011000=>10100100 [4,2,1,1]=>[1,1,2,4]=>11101000=>10100110 [4,2,2]=>[2,2,4]=>10101000=>10110000 [4,3,1]=>[1,3,4]=>11001000=>11000010 [4,4]=>[4,4]=>10001000=>11000000 [5,1,1,1]=>[1,1,1,5]=>11110000=>10001110 [5,1,2]=>[2,1,5]=>10110000=>10001100 [5,2,1]=>[1,2,5]=>11010000=>10010010 [5,3]=>[3,5]=>10010000=>10100000 [6,1,1]=>[1,1,6]=>11100000=>10000110 [6,2]=>[2,6]=>10100000=>10001000 [7,1]=>[1,7]=>11000000=>10000010 [8]=>[8]=>10000000=>10000000 [1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1]=>111111111=>111111111 [1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1]=>101111111=>111111110 [1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1]=>110111111=>111111110 [1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1]=>100111111=>101111110 [1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1]=>111011111=>111111110 [1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1]=>101011111=>111011110 [1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1]=>110011111=>101111110 [1,1,1,1,1,4]=>[4,1,1,1,1,1]=>100011111=>100111110 [1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1]=>111101111=>111111110 [1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1]=>101101111=>111110110 [1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1]=>110101111=>111011110 [1,1,1,1,2,3]=>[3,2,1,1,1,1]=>100101111=>101101110 [1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1]=>111001111=>101111110 [1,1,1,1,3,2]=>[2,3,1,1,1,1]=>101001111=>110011110 [1,1,1,1,4,1]=>[1,4,1,1,1,1]=>110001111=>100111110 [1,1,1,1,5]=>[5,1,1,1,1]=>100001111=>100011110 [1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1]=>111110111=>111111110 [1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1]=>101110111=>111111100 [1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1]=>110110111=>111110110 [1,1,1,2,1,3]=>[3,1,2,1,1,1]=>100110111=>101111010 [1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1]=>111010111=>111011110 [1,1,1,2,2,2]=>[2,2,2,1,1,1]=>101010111=>111100110 [1,1,1,2,3,1]=>[1,3,2,1,1,1]=>110010111=>101101110 [1,1,1,2,4]=>[4,2,1,1,1]=>100010111=>100110110 [1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1]=>111100111=>101111110 [1,1,1,3,1,2]=>[2,1,3,1,1,1]=>101100111=>110110110 [1,1,1,3,2,1]=>[1,2,3,1,1,1]=>110100111=>110011110 [1,1,1,3,3]=>[3,3,1,1,1]=>100100111=>110010110 [1,1,1,4,1,1]=>[1,1,4,1,1,1]=>111000111=>100111110 [1,1,1,4,2]=>[2,4,1,1,1]=>101000111=>101001110 [1,1,1,5,1]=>[1,5,1,1,1]=>110000111=>100011110 [1,1,1,6]=>[6,1,1,1]=>100000111=>100001110 [1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1]=>111111011=>111111110 [1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1]=>101111011=>111111100 [1,1,2,1,1,2,1]=>[1,2,1,1,2,1,1]=>110111011=>111111100 [1,1,2,1,1,3]=>[3,1,1,2,1,1]=>100111011=>110111100 [1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1]=>111011011=>111110110 [1,1,2,1,2,2]=>[2,2,1,2,1,1]=>101011011=>111101100 [1,1,2,1,3,1]=>[1,3,1,2,1,1]=>110011011=>101111010 [1,1,2,1,4]=>[4,1,2,1,1]=>100011011=>100111100 [1,1,2,2,1,1,1]=>[1,1,1,2,2,1,1]=>111101011=>111011110 [1,1,2,2,1,2]=>[2,1,2,2,1,1]=>101101011=>111110010 [1,1,2,2,2,1]=>[1,2,2,2,1,1]=>110101011=>111100110 [1,1,2,2,3]=>[3,2,2,1,1]=>100101011=>101110010 [1,1,2,3,1,1]=>[1,1,3,2,1,1]=>111001011=>101101110 [1,1,2,3,2]=>[2,3,2,1,1]=>101001011=>110101010 [1,1,2,4,1]=>[1,4,2,1,1]=>110001011=>100110110 [1,1,2,5]=>[5,2,1,1]=>100001011=>100011010 [1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1]=>111110011=>101111110 [1,1,3,1,1,2]=>[2,1,1,3,1,1]=>101110011=>110111100 [1,1,3,1,2,1]=>[1,2,1,3,1,1]=>110110011=>110110110 [1,1,3,1,3]=>[3,1,3,1,1]=>100110011=>110011100 [1,1,3,2,1,1]=>[1,1,2,3,1,1]=>111010011=>110011110 [1,1,3,2,2]=>[2,2,3,1,1]=>101010011=>111000110 [1,1,3,3,1]=>[1,3,3,1,1]=>110010011=>110010110 [1,1,3,4]=>[4,3,1,1]=>100010011=>101001010 [1,1,4,1,1,1]=>[1,1,1,4,1,1]=>111100011=>100111110 [1,1,4,1,2]=>[2,1,4,1,1]=>101100011=>101011010 [1,1,4,2,1]=>[1,2,4,1,1]=>110100011=>101001110 [1,1,4,3]=>[3,4,1,1]=>100100011=>110000110 [1,1,5,1,1]=>[1,1,5,1,1]=>111000011=>100011110 [1,1,5,2]=>[2,5,1,1]=>101000011=>100100110 [1,1,6,1]=>[1,6,1,1]=>110000011=>100001110 [1,1,7]=>[7,1,1]=>100000011=>100000110 [1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1]=>111111101=>111111110 [1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1]=>101111101=>111110110 [1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1]=>110111101=>111111100 [1,2,1,1,1,3]=>[3,1,1,1,2,1]=>100111101=>110110110 [1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1]=>111011101=>111111100 [1,2,1,1,2,2]=>[2,2,1,1,2,1]=>101011101=>111110010 [1,2,1,1,3,1]=>[1,3,1,1,2,1]=>110011101=>110111100 [1,2,1,1,4]=>[4,1,1,2,1]=>100011101=>101011010 [1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1]=>111101101=>111110110 [1,2,1,2,1,2]=>[2,1,2,1,2,1]=>101101101=>111111000 [1,2,1,2,2,1]=>[1,2,2,1,2,1]=>110101101=>111101100 [1,2,1,2,3]=>[3,2,1,2,1]=>100101101=>101111000 [1,2,1,3,1,1]=>[1,1,3,1,2,1]=>111001101=>101111010 [1,2,1,3,2]=>[2,3,1,2,1]=>101001101=>111001100 [1,2,1,4,1]=>[1,4,1,2,1]=>110001101=>100111100 [1,2,1,5]=>[5,1,2,1]=>100001101=>100101100 [1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1]=>111110101=>111011110 [1,2,2,1,1,2]=>[2,1,1,2,2,1]=>101110101=>111101100 [1,2,2,1,2,1]=>[1,2,1,2,2,1]=>110110101=>111110010 [1,2,2,1,3]=>[3,1,2,2,1]=>100110101=>111011000 [1,2,2,2,1,1]=>[1,1,2,2,2,1]=>111010101=>111100110 [1,2,2,2,2]=>[2,2,2,2,1]=>101010101=>111110000 [1,2,2,3,1]=>[1,3,2,2,1]=>110010101=>101110010 [1,2,2,4]=>[4,2,2,1]=>100010101=>100111000 [1,2,3,1,1,1]=>[1,1,1,3,2,1]=>111100101=>101101110 [1,2,3,1,2]=>[2,1,3,2,1]=>101100101=>101111000 [1,2,3,2,1]=>[1,2,3,2,1]=>110100101=>110101010 [1,2,3,3]=>[3,3,2,1]=>100100101=>110011000 [1,2,4,1,1]=>[1,1,4,2,1]=>111000101=>100110110 [1,2,4,2]=>[2,4,2,1]=>101000101=>101010100 [1,2,5,1]=>[1,5,2,1]=>110000101=>100011010 [1,2,6]=>[6,2,1]=>100000101=>100001100 [1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1]=>111111001=>101111110 [1,3,1,1,1,2]=>[2,1,1,1,3,1]=>101111001=>101111010 [1,3,1,1,2,1]=>[1,2,1,1,3,1]=>110111001=>110111100 [1,3,1,1,3]=>[3,1,1,3,1]=>100111001=>110011100 [1,3,1,2,1,1]=>[1,1,2,1,3,1]=>111011001=>110110110 [1,3,1,2,2]=>[2,2,1,3,1]=>101011001=>111011000 [1,3,1,3,1]=>[1,3,1,3,1]=>110011001=>110011100 [1,3,1,4]=>[4,1,3,1]=>100011001=>110001100 [1,3,2,1,1,1]=>[1,1,1,2,3,1]=>111101001=>110011110 [1,3,2,1,2]=>[2,1,2,3,1]=>101101001=>111001100 [1,3,2,2,1]=>[1,2,2,3,1]=>110101001=>111000110 [1,3,2,3]=>[3,2,3,1]=>100101001=>111001000 [1,3,3,1,1]=>[1,1,3,3,1]=>111001001=>110010110 [1,3,3,2]=>[2,3,3,1]=>101001001=>111000010 [1,3,4,1]=>[1,4,3,1]=>110001001=>101001010 [1,3,5]=>[5,3,1]=>100001001=>100100100 [1,4,1,1,1,1]=>[1,1,1,1,4,1]=>111110001=>100111110 [1,4,1,1,2]=>[2,1,1,4,1]=>101110001=>100111100 [1,4,1,2,1]=>[1,2,1,4,1]=>110110001=>101011010 [1,4,1,3]=>[3,1,4,1]=>100110001=>110001100 [1,4,2,1,1]=>[1,1,2,4,1]=>111010001=>101001110 [1,4,2,2]=>[2,2,4,1]=>101010001=>101100010 [1,4,3,1]=>[1,3,4,1]=>110010001=>110000110 [1,4,4]=>[4,4,1]=>100010001=>110000100 [1,5,1,1,1]=>[1,1,1,5,1]=>111100001=>100011110 [1,5,1,2]=>[2,1,5,1]=>101100001=>100101100 [1,5,2,1]=>[1,2,5,1]=>110100001=>100100110 [1,5,3]=>[3,5,1]=>100100001=>101000010 [1,6,1,1]=>[1,1,6,1]=>111000001=>100001110 [1,6,2]=>[2,6,1]=>101000001=>100010010 [1,7,1]=>[1,7,1]=>110000001=>100000110 [1,8]=>[8,1]=>100000001=>100000010 [2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2]=>111111110=>111111110 [2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2]=>101111110=>111011110 [2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2]=>110111110=>111110110 [2,1,1,1,1,3]=>[3,1,1,1,1,2]=>100111110=>110011110 [2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2]=>111011110=>111111100 [2,1,1,1,2,2]=>[2,2,1,1,1,2]=>101011110=>111100110 [2,1,1,1,3,1]=>[1,3,1,1,1,2]=>110011110=>110110110 [2,1,1,1,4]=>[4,1,1,1,2]=>100011110=>101001110 [2,1,1,2,1,1,1]=>[1,1,1,2,1,1,2]=>111101110=>111111100 [2,1,1,2,1,2]=>[2,1,2,1,1,2]=>101101110=>111101100 [2,1,1,2,2,1]=>[1,2,2,1,1,2]=>110101110=>111110010 [2,1,1,2,3]=>[3,2,1,1,2]=>100101110=>110101010 [2,1,1,3,1,1]=>[1,1,3,1,1,2]=>111001110=>110111100 [2,1,1,3,2]=>[2,3,1,1,2]=>101001110=>111000110 [2,1,1,4,1]=>[1,4,1,1,2]=>110001110=>101011010 [2,1,1,5]=>[5,1,1,2]=>100001110=>100100110 [2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2]=>111110110=>111110110 [2,1,2,1,1,2]=>[2,1,1,2,1,2]=>101110110=>111110010 [2,1,2,1,2,1]=>[1,2,1,2,1,2]=>110110110=>111111000 [2,1,2,1,3]=>[3,1,2,1,2]=>100110110=>111001100 [2,1,2,2,1,1]=>[1,1,2,2,1,2]=>111010110=>111101100 [2,1,2,2,2]=>[2,2,2,1,2]=>101010110=>111110000 [2,1,2,3,1]=>[1,3,2,1,2]=>110010110=>101111000 [2,1,2,4]=>[4,2,1,2]=>100010110=>101010100 [2,1,3,1,1,1]=>[1,1,1,3,1,2]=>111100110=>101111010 [2,1,3,1,2]=>[2,1,3,1,2]=>101100110=>111011000 [2,1,3,2,1]=>[1,2,3,1,2]=>110100110=>111001100 [2,1,3,3]=>[3,3,1,2]=>100100110=>111000010 [2,1,4,1,1]=>[1,1,4,1,2]=>111000110=>100111100 [2,1,4,2]=>[2,4,1,2]=>101000110=>101100010 [2,1,5,1]=>[1,5,1,2]=>110000110=>100101100 [2,1,6]=>[6,1,2]=>100000110=>100010010 [2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2]=>111111010=>111011110 [2,2,1,1,1,2]=>[2,1,1,1,2,2]=>101111010=>111100110 [2,2,1,1,2,1]=>[1,2,1,1,2,2]=>110111010=>111101100 [2,2,1,1,3]=>[3,1,1,2,2]=>100111010=>111000110 [2,2,1,2,1,1]=>[1,1,2,1,2,2]=>111011010=>111110010 [2,2,1,2,2]=>[2,2,1,2,2]=>101011010=>111110000 [2,2,1,3,1]=>[1,3,1,2,2]=>110011010=>111011000 [2,2,1,4]=>[4,1,2,2]=>100011010=>101100010 [2,2,2,1,1,1]=>[1,1,1,2,2,2]=>111101010=>111100110 [2,2,2,1,2]=>[2,1,2,2,2]=>101101010=>111110000 [2,2,2,2,1]=>[1,2,2,2,2]=>110101010=>111110000 [2,2,2,3]=>[3,2,2,2]=>100101010=>111100000 [2,2,3,1,1]=>[1,1,3,2,2]=>111001010=>101110010 [2,2,3,2]=>[2,3,2,2]=>101001010=>111100000 [2,2,4,1]=>[1,4,2,2]=>110001010=>100111000 [2,2,5]=>[5,2,2]=>100001010=>100110000 [2,3,1,1,1,1]=>[1,1,1,1,3,2]=>111110010=>101101110 [2,3,1,1,2]=>[2,1,1,3,2]=>101110010=>101110010 [2,3,1,2,1]=>[1,2,1,3,2]=>110110010=>101111000 [2,3,1,3]=>[3,1,3,2]=>100110010=>111001000 [2,3,2,1,1]=>[1,1,2,3,2]=>111010010=>110101010 [2,3,2,2]=>[2,2,3,2]=>101010010=>111100000 [2,3,3,1]=>[1,3,3,2]=>110010010=>110011000 [2,3,4]=>[4,3,2]=>100010010=>101100000 [2,4,1,1,1]=>[1,1,1,4,2]=>111100010=>100110110 [2,4,1,2]=>[2,1,4,2]=>101100010=>100111000 [2,4,2,1]=>[1,2,4,2]=>110100010=>101010100 [2,4,3]=>[3,4,2]=>100100010=>110010000 [2,5,1,1]=>[1,1,5,2]=>111000010=>100011010 [2,5,2]=>[2,5,2]=>101000010=>100110000 [2,6,1]=>[1,6,2]=>110000010=>100001100 [2,7]=>[7,2]=>100000010=>100001000 [3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3]=>111111100=>101111110 [3,1,1,1,1,2]=>[2,1,1,1,1,3]=>101111100=>101101110 [3,1,1,1,2,1]=>[1,2,1,1,1,3]=>110111100=>101111010 [3,1,1,1,3]=>[3,1,1,1,3]=>100111100=>110010110 [3,1,1,2,1,1]=>[1,1,2,1,1,3]=>111011100=>110111100 [3,1,1,2,2]=>[2,2,1,1,3]=>101011100=>101110010 [3,1,1,3,1]=>[1,3,1,1,3]=>110011100=>110011100 [3,1,1,4]=>[4,1,1,3]=>100011100=>110000110 [3,1,2,1,1,1]=>[1,1,1,2,1,3]=>111101100=>110110110 [3,1,2,1,2]=>[2,1,2,1,3]=>101101100=>101111000 [3,1,2,2,1]=>[1,2,2,1,3]=>110101100=>111011000 [3,1,2,3]=>[3,2,1,3]=>100101100=>110011000 [3,1,3,1,1]=>[1,1,3,1,3]=>111001100=>110011100 [3,1,3,2]=>[2,3,1,3]=>101001100=>111001000 [3,1,4,1]=>[1,4,1,3]=>110001100=>110001100 [3,1,5]=>[5,1,3]=>100001100=>101000010 [3,2,1,1,1,1]=>[1,1,1,1,2,3]=>111110100=>110011110 [3,2,1,1,2]=>[2,1,1,2,3]=>101110100=>110101010 [3,2,1,2,1]=>[1,2,1,2,3]=>110110100=>111001100 [3,2,1,3]=>[3,1,2,3]=>100110100=>111000010 [3,2,2,1,1]=>[1,1,2,2,3]=>111010100=>111000110 [3,2,2,2]=>[2,2,2,3]=>101010100=>111100000 [3,2,3,1]=>[1,3,2,3]=>110010100=>111001000 [3,2,4]=>[4,2,3]=>100010100=>110010000 [3,3,1,1,1]=>[1,1,1,3,3]=>111100100=>110010110 [3,3,1,2]=>[2,1,3,3]=>101100100=>110011000 [3,3,2,1]=>[1,2,3,3]=>110100100=>111000010 [3,3,3]=>[3,3,3]=>100100100=>111000000 [3,4,1,1]=>[1,1,4,3]=>111000100=>101001010 [3,4,2]=>[2,4,3]=>101000100=>101100000 [3,5,1]=>[1,5,3]=>110000100=>100100100 [3,6]=>[6,3]=>100000100=>100100000 [4,1,1,1,1,1]=>[1,1,1,1,1,4]=>111111000=>100111110 [4,1,1,1,2]=>[2,1,1,1,4]=>101111000=>100110110 [4,1,1,2,1]=>[1,2,1,1,4]=>110111000=>100111100 [4,1,1,3]=>[3,1,1,4]=>100111000=>101001010 [4,1,2,1,1]=>[1,1,2,1,4]=>111011000=>101011010 [4,1,2,2]=>[2,2,1,4]=>101011000=>100111000 [4,1,3,1]=>[1,3,1,4]=>110011000=>110001100 [4,1,4]=>[4,1,4]=>100011000=>110000100 [4,2,1,1,1]=>[1,1,1,2,4]=>111101000=>101001110 [4,2,1,2]=>[2,1,2,4]=>101101000=>101010100 [4,2,2,1]=>[1,2,2,4]=>110101000=>101100010 [4,2,3]=>[3,2,4]=>100101000=>101100000 [4,3,1,1]=>[1,1,3,4]=>111001000=>110000110 [4,3,2]=>[2,3,4]=>101001000=>110010000 [4,4,1]=>[1,4,4]=>110001000=>110000100 [4,5]=>[5,4]=>100001000=>110000000 [5,1,1,1,1]=>[1,1,1,1,5]=>111110000=>100011110 [5,1,1,2]=>[2,1,1,5]=>101110000=>100011010 [5,1,2,1]=>[1,2,1,5]=>110110000=>100101100 [5,1,3]=>[3,1,5]=>100110000=>100100100 [5,2,1,1]=>[1,1,2,5]=>111010000=>100100110 [5,2,2]=>[2,2,5]=>101010000=>100110000 [5,3,1]=>[1,3,5]=>110010000=>101000010 [5,4]=>[4,5]=>100010000=>110000000 [6,1,1,1]=>[1,1,1,6]=>111100000=>100001110 [6,1,2]=>[2,1,6]=>101100000=>100001100 [6,2,1]=>[1,2,6]=>110100000=>100010010 [6,3]=>[3,6]=>100100000=>100100000 [7,1,1]=>[1,1,7]=>111000000=>100000110 [7,2]=>[2,7]=>101000000=>100001000 [8,1]=>[1,8]=>110000000=>100000010 [9]=>[9]=>100000000=>100000000 [1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1]=>1111111111=>1111111111 [1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1]=>1001111111=>1011111110 [1,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,1]=>1011011111=>1111101110 [1,1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1,1]=>1101011111=>1110111110 [1,1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1,1]=>1110011111=>1011111110 [1,1,1,1,1,5]=>[5,1,1,1,1,1]=>1000011111=>1000111110 [1,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,1]=>1011110111=>1111111100 [1,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,1]=>1110110111=>1111101110 [1,1,1,2,1,4]=>[4,1,2,1,1,1]=>1000110111=>1001111010 [1,1,1,2,2,2,1]=>[1,2,2,2,1,1,1]=>1101010111=>1111001110 [1,1,1,2,3,2]=>[2,3,2,1,1,1]=>1010010111=>1101010110 [1,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,1]=>1111100111=>1011111110 [1,1,1,3,1,3]=>[3,1,3,1,1,1]=>1001100111=>1100111010 [1,1,1,4,1,2]=>[2,1,4,1,1,1]=>1011000111=>1010110110 [1,1,1,5,1,1]=>[1,1,5,1,1,1]=>1110000111=>1000111110 [1,1,1,7]=>[7,1,1,1]=>1000000111=>1000001110 [1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1]=>1101111011=>1111111100 [1,1,2,1,2,2,1]=>[1,2,2,1,2,1,1]=>1101011011=>1111011010 [1,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,1]=>1111101011=>1110111110 [1,1,2,2,1,2,1]=>[1,2,1,2,2,1,1]=>1101101011=>1111100110 [1,1,2,2,2,1,1]=>[1,1,2,2,2,1,1]=>1110101011=>1111001110 [1,1,2,2,2,2]=>[2,2,2,2,1,1]=>1010101011=>1111100010 [1,1,2,2,3,1]=>[1,3,2,2,1,1]=>1100101011=>1011100110 [1,1,2,2,4]=>[4,2,2,1,1]=>1000101011=>1001110010 [1,1,2,3,2,1]=>[1,2,3,2,1,1]=>1101001011=>1101010110 [1,1,2,5,1]=>[1,5,2,1,1]=>1100001011=>1000110110 [1,1,3,2,2,1]=>[1,2,2,3,1,1]=>1101010011=>1110001110 [1,1,5,2,1]=>[1,2,5,1,1]=>1101000011=>1001001110 [1,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,1]=>1011111101=>1111101110 [1,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,1]=>1110111101=>1111111100 [1,2,1,1,1,4]=>[4,1,1,1,2,1]=>1000111101=>1010110110 [1,2,1,1,3,2]=>[2,3,1,1,2,1]=>1010011101=>1110011010 [1,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,1]=>1111101101=>1111101110 [1,2,1,2,1,3]=>[3,1,2,1,2,1]=>1001101101=>1110111000 [1,2,1,3,1,2]=>[2,1,3,1,2,1]=>1011001101=>1110111000 [1,2,1,4,1,1]=>[1,1,4,1,2,1]=>1110001101=>1001111010 [1,2,1,6]=>[6,1,2,1]=>1000001101=>1000101100 [1,2,2,1,2,2]=>[2,2,1,2,2,1]=>1010110101=>1111110000 [1,2,2,2,2,1]=>[1,2,2,2,2,1]=>1101010101=>1111100010 [1,2,3,1,1,2]=>[2,1,1,3,2,1]=>1011100101=>1011101100 [1,2,3,2,1,1]=>[1,1,2,3,2,1]=>1110100101=>1101010110 [1,2,3,4]=>[4,3,2,1]=>1000100101=>1010011000 [1,2,5,2]=>[2,5,2,1]=>1010000101=>1001010100 [1,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,1]=>1111111001=>1011111110 [1,3,1,1,1,3]=>[3,1,1,1,3,1]=>1001111001=>1100111010 [1,3,1,2,1,2]=>[2,1,2,1,3,1]=>1011011001=>1110111000 [1,3,1,3,1,1]=>[1,1,3,1,3,1]=>1110011001=>1100111010 [1,3,1,5]=>[5,1,3,1]=>1000011001=>1010001100 [1,4,1,1,1,2]=>[2,1,1,1,4,1]=>1011110001=>1001111010 [1,4,1,2,1,1]=>[1,1,2,1,4,1]=>1110110001=>1010110110 [1,4,1,4]=>[4,1,4,1]=>1000110001=>1100001100 [1,4,2,2,1]=>[1,2,2,4,1]=>1101010001=>1011000110 [1,4,3,2]=>[2,3,4,1]=>1010010001=>1100100010 [1,5,1,1,1,1]=>[1,1,1,1,5,1]=>1111100001=>1000111110 [1,5,1,3]=>[3,1,5,1]=>1001100001=>1010001100 [1,6,1,2]=>[2,1,6,1]=>1011000001=>1000101100 [1,7,1,1]=>[1,1,7,1]=>1110000001=>1000001110 [1,9]=>[9,1]=>1000000001=>1000000010 [2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110=>1111111110 [2,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,2]=>1011111110=>1110111110 [2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2]=>1101111110=>1111101110 [2,1,1,1,1,1,3]=>[3,1,1,1,1,1,2]=>1001111110=>1100111110 [2,1,1,1,1,2,2]=>[2,2,1,1,1,1,2]=>1010111110=>1111001110 [2,1,1,1,1,4]=>[4,1,1,1,1,2]=>1000111110=>1010011110 [2,1,1,1,2,3]=>[3,2,1,1,1,2]=>1001011110=>1101010110 [2,1,1,1,5]=>[5,1,1,1,2]=>1000011110=>1001001110 [2,1,1,2,4]=>[4,2,1,1,2]=>1000101110=>1010101010 [2,1,1,6]=>[6,1,1,2]=>1000001110=>1000100110 [2,1,2,5]=>[5,2,1,2]=>1000010110=>1001010100 [2,1,7]=>[7,1,2]=>1000000110=>1000010010 [2,2,2,2,2]=>[2,2,2,2,2]=>1010101010=>1111100000 [2,2,2,3,1]=>[1,3,2,2,2]=>1100101010=>1011110000 [2,2,3,1,2]=>[2,1,3,2,2]=>1011001010=>1011110000 [2,2,3,2,1]=>[1,2,3,2,2]=>1101001010=>1101101000 [2,2,4,1,1]=>[1,1,4,2,2]=>1110001010=>1001110010 [2,2,6]=>[6,2,2]=>1000001010=>1000110000 [2,3,1,2,2]=>[2,2,1,3,2]=>1010110010=>1011110000 [2,3,1,3,1]=>[1,3,1,3,2]=>1100110010=>1100111000 [2,3,2,1,2]=>[2,1,2,3,2]=>1011010010=>1101101000 [2,3,2,2,1]=>[1,2,2,3,2]=>1101010010=>1110100100 [2,3,3,1,1]=>[1,1,3,3,2]=>1110010010=>1100110010 [2,4,1,1,2]=>[2,1,1,4,2]=>1011100010=>1001110010 [2,4,1,2,1]=>[1,2,1,4,2]=>1101100010=>1001111000 [2,4,2,1,1]=>[1,1,2,4,2]=>1110100010=>1010101010 [2,5,1,1,1]=>[1,1,1,5,2]=>1111000010=>1000110110 [2,8]=>[8,2]=>1000000010=>1000001000 [3,1,2,2,2]=>[2,2,2,1,3]=>1010101100=>1011110000 [3,1,2,3,1]=>[1,3,2,1,3]=>1100101100=>1100111000 [3,1,3,1,2]=>[2,1,3,1,3]=>1011001100=>1100111000 [3,1,3,2,1]=>[1,2,3,1,3]=>1101001100=>1110001100 [3,1,4,1,1]=>[1,1,4,1,3]=>1110001100=>1010011100 [3,2,1,2,2]=>[2,2,1,2,3]=>1010110100=>1101101000 [3,2,1,3,1]=>[1,3,1,2,3]=>1100110100=>1110001100 [3,2,2,1,2]=>[2,1,2,2,3]=>1011010100=>1110100100 [3,2,2,2,1]=>[1,2,2,2,3]=>1101010100=>1111000010 [3,2,3,1,1]=>[1,1,3,2,3]=>1110010100=>1110010010 [3,3,1,1,2]=>[2,1,1,3,3]=>1011100100=>1100110010 [3,3,1,2,1]=>[1,2,1,3,3]=>1101100100=>1101010100 [3,3,2,1,1]=>[1,1,2,3,3]=>1110100100=>1110000110 [3,4,1,1,1]=>[1,1,1,4,3]=>1111000100=>1010010110 [3,7]=>[7,3]=>1000000100=>1000100000 [4,1,1,2,2]=>[2,2,1,1,4]=>1010111000=>1001110010 [4,1,1,3,1]=>[1,3,1,1,4]=>1100111000=>1010011100 [4,1,2,1,2]=>[2,1,2,1,4]=>1011011000=>1001111000 [4,1,2,2,1]=>[1,2,2,1,4]=>1101011000=>1011011000 [4,1,3,1,1]=>[1,1,3,1,4]=>1110011000=>1100011010 [4,2,1,1,2]=>[2,1,1,2,4]=>1011101000=>1010101010 [4,2,1,2,1]=>[1,2,1,2,4]=>1101101000=>1011001100 [4,2,2,1,1]=>[1,1,2,2,4]=>1110101000=>1011000110 [4,3,1,1,1]=>[1,1,1,3,4]=>1111001000=>1100001110 [5,1,1,1,2]=>[2,1,1,1,5]=>1011110000=>1000110110 [5,1,1,2,1]=>[1,2,1,1,5]=>1101110000=>1000111100 [5,1,2,1,1]=>[1,1,2,1,5]=>1110110000=>1001011010 [5,2,1,1,1]=>[1,1,1,2,5]=>1111010000=>1001001110 [6,1,1,1,1]=>[1,1,1,1,6]=>1111100000=>1000011110 [10]=>[10]=>1000000000=>1000000000